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Microscopic calculations of \(^6\)He and \(^6\)Li with real-time evolution method

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Abstract

The low-lying cluster states of \(^6\)He (\(\alpha \)+n+n) and \(^6\)Li (\(\alpha \)+n+p) are calculated by the real-time evolution method (REM) which generates basis wave functions for the generator coordinate method (GCM) from the equation of motion of Gaussian wave packets. The \(0^+\) state of \(^6\)He as well as the \(1^+\), \(0^+\) and \(3^+\) states of \(^6\)Li are calculated as a benchmark. We also calculate the root-mean-square (r.m.s.) radii of the point matter, the point proton, and the point neutron of these states, particularly for the study of the halo characters of these two nuclei. It is shown that REM can be one constructive way for generating effective basis wave functions in GCM calculations.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The numerical data analyzed in this article are from the calculation depending on some model assumption.].

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Acknowledgements

One of the author (M.K.) acknowledges that this work was supported by the JSPS KAKENHI Grant No. 19K03859 and by the COREnet program at RCNP Osaka University. The ECT* Trento has supported this work and this infrastructure is part of a project that has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 824093.

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Authors and Affiliations

  1. School of Science, Huzhou University, Huzhou, 313000, Zhejiang, China

    Q. Zhao

  2. Department of Physics, Hokkaido University, Sapporo, 060-0810, Japan

    B. Zhou, M. Kimura, H. Motoki & Seung-heon Shin

  3. Institute of Modern Physics, Fudan University, Shanghai, 200433, China

    B. Zhou

  4. Nuclear Reaction Data Centre (JCPRG), Hokkaido University, Sapporo, 060-0810, Japan

    M. Kimura

  5. RIKEN Nishina Center, Wako, Saitama, 351-0198, Japan

    M. Kimura

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  1. Q. Zhao
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  2. B. Zhou
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  3. M. Kimura
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  4. H. Motoki
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  5. Seung-heon Shin
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Corresponding author

Correspondence to Q. Zhao.

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Communicated by David Blaschke.

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Zhao, Q., Zhou, B., Kimura, M. et al. Microscopic calculations of \(^6\)He and \(^6\)Li with real-time evolution method. Eur. Phys. J. A 58, 25 (2022). https://doi.org/10.1140/epja/s10050-021-00648-9

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  • DOI: https://doi.org/10.1140/epja/s10050-021-00648-9

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